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One can cross the river in a shortest time, if one start swimming in a direction perpendicular to the river flow.
Let U = Velocity of the swimmer perpendicular to the river flow.
D= width of the river.
T = time to cross the river.
Vw= Velocity of the water.
Hence T = ( D/U)
S = Over carried distance , on the opposite bank & this distance will be away from the directly opposite to the starting point.
Where S = Vw×T
= ( D / U) T units.
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